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Finding the Fourth Proportional to 389,786.21, 584,679.28 and 146,672.96

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Solution

The fourth proportional to 389,786.21, 584,679.28 and 146,672.96 is: 220,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,786.21 : 584,679.28 = 146,672.96 : x
  2. Step 2: Convert to fraction form
    389,786.21/584,679.28 = 146,672.96/x
  3. Step 3: Cross multiply
    389,786.21x = 584,679.28 × 146,672.96
  4. Step 4: Simplify right side
    389,786.21x = 85,756,640,922.02
  5. Step 5: Solve for x
    x = 85,756,640,922.02/389,786.21
  6. Step 6: Final answer
    x = 220,009.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.